Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information The G. H. Hardy Reader © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information 32 Avenue of the Americas, New York NY 10013-2473, USA Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence. www.cambridge.org Information on this title: www.cambridge.org/9781107135550 About the Cover. The photo collage for the cover was designed by Do Good Design. The photo of Hardy as a schoolboy is reproduced with the permission of the Warden and Scholars of Winchester College, and that of Hardy as a Fellow of Trinity College with the permission of the Master and Fellows of Trinity College, Cambridge. © 2015 by The Mathematical Association of America (Incorporated) This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2016 A catalogue record for this publication is available from the British Library ISBN 978-1-107-13555-0 Hardback Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information The G. H. Hardy Reader edited by Donald J. Albers Gerald L. Alexanderson William Dunham MATHEMATICAL ASSOCIATION OF AMERICA © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information Council on Publications and Communications Jennifer J. Quinn, Chair Committee on Books Fernando Gouvea,ˆ Chair Spectrum Editorial Board Gerald L. Alexanderson, Co-Editor James J. Tattersall, Co-Editor Virginia M. Buchanan Thomas L. Drucker Richard K. Guy Dominic Klyve Shawnee L. McMurran Daniel E. Otero Jean J. Pedersen Marvin Schaefer © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information SPECTRUM SERIES The Spectrum Series of the Mathematical Association of America was so named to reflect its purpose: to publish a broad range of books including biographies, accessible expositions of old or new mathematical ideas, reprints and revisions of excellent out-of- print books, popular works, and other monographs of high interest that will appeal to a broad range of readers, including students and teachers of mathematics, mathematical amateurs, and researchers. 777 Mathematical Conversation Starters, by John de Pillis 99 Points of Intersection: Examples—Pictures—Proofs, by Hans Walser. Translated from the original German by Peter Hilton and Jean Pedersen Aha Gotcha and Aha Insight, by Martin Gardner All the Math That’s Fit to Print, by Keith Devlin Beautiful Mathematics, by Martin Erickson Calculus and Its Origins, by David Perkins Calculus Gems: Brief Lives and Memorable Mathematics, by George F. Simmons Carl Friedrich Gauss: Titan of Science, by G. Waldo Dunnington, with additional material by Jeremy Gray and Fritz-Egbert Dohse The Changing Space of Geometry, edited by Chris Pritchard Circles: A Mathematical View, by Dan Pedoe Complex Numbers and Geometry, by Liang-shin Hahn Cryptology, by Albrecht Beutelspacher The Early Mathematics of Leonhard Euler, by C. Edward Sandifer The Edge of the Universe: Celebrating 10 Years of Math Horizons, edited by Deanna Haunsperger and Stephen Kennedy Euler and Modern Science, edited by N. N. Bogolyubov, G. K. Mikhailov, and A. P. Yushkevich. Translated from Russian by Robert Burns Euler at 300: An Appreciation, edited by Robert E. Bradley, Lawrence A. D’Antonio, and C. Edward Sandifer Expeditions in Mathematics, edited by Tatiana Shubin, David F. Hayes, and Gerald L. Alexanderson Five Hundred Mathematical Challenges, by Edward J. Barbeau, Murray S. Klamkin, and William O. J. Moser The Genius of Euler: Reflections on his Life and Work, edited by William Dunham The G. H. Hardy Reader, edited by Donald J. Albers, Gerald L. Alexanderson, and William Dunham © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information The Golden Section, by Hans Walser. Translated from the original German by Peter Hilton, with the assistance of Jean Pedersen. The Harmony of the World: 75 Years of Mathematics Magazine, edited by Gerald L. Alexanderson with the assistance of Peter Ross A Historian Looks Back: The Calculus as Algebra and Selected Writings,by Judith Grabiner History of Mathematics: Highways and Byways, by Amy Dahan-Dalmedico´ and Jeanne Peiffer, translated by Sanford Segal How Euler Did Even More, by C. Edward Sandifer How Euler Did It, by C. Edward Sandifer Illustrated Special Relativity Through Its Paradoxes: A Fusion of Linear Algebra, Graphics, and Reality, by John de Pillis and Jose´ Wudka In the Dark on the Sunny Side: A Memoir of an Out-of-Sight Mathematician, by Larry Baggett Is Mathematics Inevitable? A Miscellany, edited by Underwood Dudley I Want to Be a Mathematician, by Paul R. Halmos Journey into Geometries, by Marta Sved JULIA: a life in mathematics, by Constance Reid The Lighter Side of Mathematics: Proceedings of the Eugene` Strens Memorial Conference on Recreational Mathematics & Its History, edited by Richard K. Guy and Robert E. Woodrow Lure of the Integers, by Joe Roberts Magic Numbers of the Professor, by Owen O’Shea and Underwood Dudley Magic Tricks, Card Shuffling, and Dynamic Computer Memories: The Mathematics of the Perfect Shuffle, by S. Brent Morris Martin Gardner’s Mathematical Games: The entire collection of his Scientific American columns The Math Chat Book, by Frank Morgan Mathematical Adventures for Students and Amateurs, edited by David Hayes and Tatiana Shubin. With the assistance of Gerald L. Alexanderson and Peter Ross Mathematical Apocrypha, by Steven G. Krantz Mathematical Apocrypha Redux, by Steven G. Krantz Mathematical Carnival, by Martin Gardner Mathematical Circles Vol I: In Mathematical Circles Quadrants I, II, III, IV, by Howard W. Eves Mathematical Circles Vol II: Mathematical Circles Revisited and Mathematical Circles Squared,byHowardW.Eves © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information Mathematical Circles Vol III: Mathematical Circles Adieu and Return to Mathematical Circles,byHowardW.Eves Mathematical Circus, by Martin Gardner Mathematical Cranks, by Underwood Dudley Mathematical Evolutions, edited by Abe Shenitzer and John Stillwell Mathematical Fallacies, Flaws, and Flimflam, by Edward J. Barbeau Mathematical Magic Show, by Martin Gardner Mathematical Reminiscences,byHowardEves Mathematical Treks: From Surreal Numbers to Magic Circles,byIvars Peterson A Mathematician Comes of Age,byStevenG.Krantz Mathematics: Queen and Servant of Science,byE.T.Bell Mathematics in Historical Context, by Jeff Suzuki Memorabilia Mathematica, by Robert Edouard Moritz More Fallacies, Flaws, and Flimflam, Edward J. Barbeau Musings of the Masters: An Anthology of Mathematical Reflections, edited by Raymond G. Ayoub New Mathematical Diversions, by Martin Gardner Non-Euclidean Geometry,byH.S.M.Coxeter Numerical Methods That Work, by Forman Acton Numerology or What Pythagoras Wrought, by Underwood Dudley Out of the Mouths of Mathematicians, by Rosemary Schmalz Penrose Tiles to Trapdoor Ciphers . and the Return of Dr. Matrix, by Martin Gardner Polyominoes, by George Martin Power Play, by Edward J. Barbeau Proof and Other Dilemmas: Mathematics and Philosophy, edited by Bonnie Gold and Roger Simons The Random Walks of George Polya´ , by Gerald L. Alexanderson Remarkable Mathematicians, from Euler to von Neumann, by Ioan James The Search for E.T. Bell, also known as John Taine, by Constance Reid Shaping Space, edited by Marjorie Senechal and George Fleck Sherlock Holmes in Babylon and Other Tales of Mathematical History, edited by Marlow Anderson, Victor Katz, and Robin Wilson Six Sources of Collapse: A Mathematician’s Perspective on How Things Can Fall Apart in the Blink of an Eye, by Charles R. Hadlock © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-13555-0 — The G. H. Hardy Reader Edited by Donald J. Albers , Gerald L. Alexanderson , William Dunham Frontmatter More Information Sophie’s Diary, Second Edition,byDoraMusielak Student